Finite Group Databasebeta

← Group #295050

Character table — Group #295050

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444888888888888888844444444888824
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ31111111111111111111111111-1-1111-1-111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1111111
χ511111111111111111111111-1-1111-1-11111111111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-111
χ611111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-111111111-11-1-11-1-1-11111-1-1
χ711111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ811111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111
χ91111111111111111-1-1-1-111-11111-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-11-1
χ101111111111111111-1-1-1-111-11111-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-111-11
χ111111111111111111-1-1-1-111-111-1-1-111111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-111-11
χ121111111111111111-1-1-1-111-111-1-1-11111-1-1-1-11111-1-1-1-11111-1111-1-1-1-111-1-11-1
χ131111111111111111-1-1-1-111-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-1-1111-1
χ141111111111111111-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11111-1-111-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-111111-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1111-1-1111-1
χ172222222222-2-222-2-22222-2-2-20022-2002200000000000000000-200-2000000000
χ182222222222-2-222-2-22222-2-2-200-2-2-200-2-2000000000000000002002000000000
χ192222222222-2-222-2-2-2-2-2-2-2-220022200-2-200000000000000000200-2000000000
χ202222222222-2-222-2-2-2-2-2-2-2-2200-2-22002200000000000000000-2002000000000
χ2122222222-2-222-2-22222-2-2-2-222200-2-2-200000000000000000020000-200000000
χ2222222222-2-222-2-22222-2-2-2-22-2-200-222000000000000000000-20000200000000
χ2322222222-2-222-2-222-2-222-2-2-222002-2-2000000000000000000-20000200000000
χ2422222222-2-222-2-222-2-222-2-2-2-2-20022200000000000000000020000-200000000
χ2522222222-2-2-2-2-2-2-2-222-2-222-20000200000000000000000000002-2002-2000000
χ2622222222-2-2-2-2-2-2-2-222-2-222-2000020000000000000000000000-2200-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222220000-200000000000000000000002-200-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222220000-20000000000000000000000-22002-2000000
χ292-22-22-22-22-2002-2002i−2i2i−2i000002i−2i0002-200000000i2i2−i2−i222−2−2000000002−2i2−i200
χ302-22-22-22-22-2002-2002i−2i2i−2i000002i−2i0002-200000000−i2−i2i2i2−2−22200000000−22−i2i200
χ312-22-22-22-22-2002-2002i−2i2i−2i00000−2i2i000-2200000000i2i2−i2−i222−2−200000000−22−i2i200
χ322-22-22-22-22-2002-2002i−2i2i−2i00000−2i2i000-2200000000−i2−i2i2i2−2−222000000002−2i2−i200
χ332-22-22-22-22-2002-200−2i2i−2i2i000002i−2i000-2200000000i2i2−i2−i2−2−222000000002−2−i2i200
χ342-22-22-22-22-2002-200−2i2i−2i2i000002i−2i000-2200000000−i2−i2i2i222−2−200000000−22i2−i200
χ352-22-22-22-22-2002-200−2i2i−2i2i00000−2i2i0002-200000000i2i2−i2−i2−2−22200000000−22i2−i200
χ362-22-22-22-22-2002-200−2i2i−2i2i00000−2i2i0002-200000000−i2−i2i2i222−2−2000000002−2−i2i200
χ372-2-222-2-222-222-22-2-200002-202i−2i0002i−2i0000002i2i−2i−2i00002-22-200000000000000
χ382-2-222-2-222-222-22-2-200002-202i−2i0002i−2i000000−2i−2i2i2i0000-22-2200000000000000
χ392-2-222-2-222-222-22-2-200002-20−2i2i000−2i2i0000002i2i−2i−2i0000-22-2200000000000000
χ402-2-222-2-222-222-22-2-200002-20−2i2i000−2i2i000000−2i−2i2i2i00002-22-200000000000000
χ412-2-222-2-22-22222-2-2-20000-2202i−2i000−2i2i002i2i−2i−2i00002-22-2000000000000000000
χ422-2-222-2-22-22222-2-2-20000-2202i−2i000−2i2i00−2i−2i2i2i0000-22-22000000000000000000
χ432-2-222-2-22-22222-2-2-20000-220−2i2i0002i−2i002i2i−2i−2i0000-22-22000000000000000000
χ442-2-222-2-22-22222-2-2-20000-220−2i2i0002i−2i00−2i−2i2i2i00002-22-2000000000000000000
χ45444-4-4-4-44004-4004-4000000000000000000002i2−2i22i2−2i20000000000000000000000
χ46444-4-4-4-44004-4004-400000000000000000000−2i22i2−2i22i20000000000000000000000
χ47444-4-4-4-4400-4400-4400000000000000002i2−2i22i2−2i200000000000000000000000000
χ48444-4-4-4-4400-4400-440000000000000000−2i22i2−2i22i200000000000000000000000000
χ4944-4-444-4-44400-4-400000000000000000000000000000022−22−222200000000000000
χ5044-4-444-4-44400-4-4000000000000000000000000000000−222222−2200000000000000
χ5144-4-444-4-4-4-40044000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ5244-4-444-4-4-4-4004400000000000000000000000000−2i22i22i2−2i2000000000000000000
χ534-44-44-44-4-4400-44004i−4i−4i4i000000000000000000000000000000000000000000
χ544-44-44-44-4-4400-4400−4i4i4i−4i000000000000000000000000000000000000000000
χ554-4-444-4-444-4-4-4-44440000-440000000000000000000000000000000000000000
χ564-4-444-4-44-44-4-44-44400004-40000000000000000000000000000000000000000
χ574-4-4-4-4444004-400-440000000000000000000022−22−22220000000000000000000000
χ584-4-4-4-4444004-400-4400000000000000000000−222222−220000000000000000000000
χ594-4-4-4-444400-44004-4000000000000000022−22−222200000000000000000000000000
χ604-4-4-4-444400-44004-40000000000000000−222222−2200000000000000000000000000
χ6188-88-8-88-8000000000000000000000000000000000000000000000000000000
χ628-888-88-8-8000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).